Diagonalization in formal mathematics
著者
書誌事項
Diagonalization in formal mathematics
(BestMasters)
Springer Spektrum, c2020
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注記
Includes bibliographical references
内容説明・目次
内容説明
In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo's paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics.
目次
Diagonalization in Mathematics.- Diagonalization Lemma.- Fixed Point Theorems.- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.
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